On the Convergence of the Escalator Boxcar Train

DOI10.1137/120893215zbMath1303.65074arXiv1210.1444OpenAlexW2114183023WikidataQ112782984 ScholiaQ112782984MaRDI QIDQ5397610

Linus Carlsson, Åke Brännström, Daniel P. Simpson

Publication date: 24 February 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1444

zbMATH Keywords

convergencetransport equationparticle methodsmeasure-valued solutionsescalator boxcar trainstructured population models

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spaces of measures, convergence of measures (28A33) General biology and biomathematics (92B05) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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Bayesian inference for age-structured population model of infectious disease with application to varicella in Poland ⋮ Optimization in structure population models through the Escalator Boxcar Train ⋮ The escalator boxcar train method for a system of age-structured equations ⋮ Well-posedness of a system of transport and diffusion equations in space of measures ⋮ Measure differential equation with a nonlinear growth/decay term ⋮ On the approximation of physiologically structured population model with a three stage-structured population model in a grazing system ⋮ Asymptotic behaviour of neuron population models structured by elapsed-time ⋮ Finite range method of approximation for balance laws in measure spaces ⋮ Epidemic dynamics and host immune response: a nested approach ⋮ On models of physiologically structured populations and their reduction to ordinary differential equations ⋮ Analysis of particle methods for structured population models with nonlocal boundary term in the framework of bounded Lipschitz distance ⋮ The Escalator Boxcar Train Method for a System of Age-Structured Equations in the Space of Measures

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